Number Series Patterns Quiz

Number Series

• Number series questions present a sequence of numbers and ask for the next number in the series.
• Identifying the pattern is key to solving these questions.
• Patterns can be arithmetic (addition/subtraction), geometric (multiplication/division), or a combination of both.
• Example: In the series 4, 7, 10, 13, 16, 19, the pattern is adding 3 to each subsequent number. Therefore, the next number is 22.
• Understanding the pattern allows you to predict the next number in the series.

Tips for Solving Number Series

• Look for differences between consecutive numbers.
• Identify the sequence's starting point.
• Test for arithmetic or geometric progressions.
• Consider alternating patterns (e.g., adding and subtracting)
• Examine square, cube, or factorials for more complex patterns.

Practice Problems and Solutions:

• Problem 1: 4, 5, 7, 10, 14, ?
  • Pattern: The difference between consecutive numbers increases by 1 (2, 3, 4, 5).
  • Solution: The next number is 21.
• Problem 2: 4, 6, 10, 16, 24, 34, ?
  • Pattern: The difference between consecutive numbers increases by 2 (4, 6, 8, 10, 12).
  • Solution: The next number is 46.
• Problem 3: 103, 88, 101, 90, 99, 92, 97, 94, ?, ?
  • Pattern: The series alternates between subtracting 15 and adding 13.
  • Solution: The next numbers are 96, 95.
• Problem 4: 2, 5, 26, ?
  • Pattern: The sequence is based on squaring the previous term and adding one and then multiplying by 2 (2^2 + 1 = 5. 5^2 + 1 = 26.
  • Solution: The next term is 677.
• Problem 5: 1, 2, 3, 6, 9, 18, -, 54
  • Pattern: The sequence involves multiplying by 2 and then 3.
  • Solution: The next term is 27.
• Problem 6: 0, 10, 24, 68, 120, ?
  • Pattern: The differences between consecutive numbers follow a pattern. 10, 14, 44, 52.
  • Solution: The next term is 210.
• Problem 7: 20:7980::12:?
  • Pattern: 20^2 + 20 x 19 = 7980.
  • Solution: 1716
• Problem 8: 2, 5, 10, 50, 500, ?
  • Pattern: Multiply the previous term by 2.5, then by 10, and then by 10
  • Solution: The next term is 50,000.
• Problem 9: 5, 13, 31, 69, 147, ?
  • Pattern: The pattern here is the difference between each term and the next term increases by 8 (8, 18, 38, 78); then, the next term is 305 and the differences between each term and the next term increase by 8 each time (8 18 38 78 158)
  • Solution: The next term is 305.
• Problem 10: 2, 4, 6, 12, 22, ?
  • Pattern: Starting with 2, add consecutive even numbers to the previous term (2 + 2 = 4, 4 + 2 = 6, 6 + 6 = 12, 12 + 10 = 22)
  • Solution: The next term is 42.
• Problem 11: 4, 10, 22, 46, ?, 190
  • Pattern: Add consecutive multiples of 6 (4 10 22 46 94 190)
  • Solution: The next term is 94.